Combine rub ingredients; press evenly onto beef steaks.
Place steaks on grid over medium, ash-covered coals or over medium heat on preheated gas grill. Grill according to the chart for medium rare (145°F) to medium (160°F) doneness, turning occasionally.
Serve half of steaks immediately, as desired. Cover and refrigerate remaining steaks for later use. Before serving, carve steaks into slices; season with salt and pepper, as desired.